def p(s):print(s)
def w():input("...")
def o1():
p("=GEOMETRY=")
p("CIRCLE:")
p("A=pi*r^2")
p("C=2*pi*r")
w()
p("TRIANGLE:")
p("A=bh/2")
p("P=a+b+c")
w()
p("TRAPEZOID:")
p("A=h(b1+b2)/2")
p("CYLINDER:")
p("V=pi*r^2*h")
w()
def o2():
p("=TRIG=")
p("SOHCAHTOA:")
p("sin=opp/hyp")
p("cos=adj/hyp")
p("tan=opp/adj")
w()
p("LAW SINES:")
p("a/sinA=")
p("b/sinB=")
p("c/sinC")
w()
p("LAW COS:")
p("c2=a2+b2")
p("-2ab*cosC")
w()
def o3():
p("=SEQ/SERIES=")
p("ARITH nth:")
p("an=a1+(n-1)d")
p("SUM n terms:")
p("S=n(a1+an)/2")
w()
p("GEOM nth:")
p("an=a1*r^(n-1)")
p("SUM geom:")
p("S=a1(1-r^n)")
p("/(1-r)")
w()
def o4():
p("=PROBABILITY=")
p("P(A)=favor/")
p("total")
w()
p("P(A and B)=")
p("P(A)*P(B)")
p("(indep)")
w()
p("P(A or B)=")
p("P(A)+P(B)-")
p("P(A and B)")
w()
def o5():
p("=LOGS=")
p("log_b(x)=y")
p("=> b^y=x")
w()
p("log(mn)=")
p("log m+log n")
p("log(m/n)=")
p("log m-log n")
w()
p("log(m^n)=")
p("n*log m")
p("CHANGE BASE:")
p("log_b(x)=")
p("log(x)/log(b)")
w()
def menu():
while True:
p("=ACT MATH=")
p("1:GEOMETRY")
p("2:TRIG")
p("3:SEQUENCES")
p("4:PROB")
p("5:LOGS")
p("0:EXIT")
c=input("?>")
if c=="1":o1()
elif c=="2":o2()
elif c=="3":o3()
elif c=="4":o4()
elif c=="5":o5()
elif c=="0":break
menu()Tier 1 · act
ACT Math Formula Sheet
The ACT gives you ZERO formulas. This program has the full set — geometry, trig, sequences, probability, and logs.
Files (1)
How to use it
The ACT is the test where you're on your own for formulas — they give you nothing. This program bundles the 15-20 formulas that actually appear on the ACT Math section, organized by topic.
Launch ACTMATH from prgm. Open the category matching your current question:
1:GEOMETRY— circle, triangle, trapezoid, cylinder (the four shapes ACT loves)2:TRIG— SOHCAHTOA, Law of Sines, Law of Cosines3:SEQUENCES— arithmetic + geometric nth-term and sum formulas4:PROB— basic probability + and/or rules5:LOGS— log definition, product/quotient/power rules, change-of-base
Pure reference — no prompts. Flip through between problems.
Example problem
ACT question: In a triangle, sides a=5, b=7, and angle C between them is 60°. Find side c.
This is a Law of Cosines setup.
- Run
ACTMATH, pick2:TRIG. - Page through to:
c2=a2+b2-2ab*cosC. - Plug in: c² = 25 + 49 − 2(5)(7)(0.5) = 74 − 35 = 39.
- c = √39 ≈ 6.24. ✓
ACT wants you to nail this in under 90 seconds. Having the formula on-screen saves the scratch-work of rederiving it.
TI-84 Plus CE — try before committingoff
TI-84 Plus CE
(calculator off) Press ON to start.
Test cases (2)
| ID | Inputs | Expected contains |
|---|---|---|
| geometry | 1, , , , 0 | A=pi*r^2, C=2*pi*r |
| trig | 2, , , , 0 | SOHCAHTOA, sin=opp/hyp |